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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 19: Estimating a Hemisphere

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism Vertical Cross-Section of an Antiprism

Topic

3D Geometry

Definition

A vertical cross-section of an antiprism is the intersection of the antiprism with a vertical plane, resulting in a polygon.

3-Dimensional Figures
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron Vertical Cross-Section of an Icosahedron

Topic

3D Geometry

Definition

A vertical cross-section of an icosahedron is the intersection of the icosahedron with a vertical plane, resulting in a polygon.

3-Dimensional Figures
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone Vertical Cross-Sections of a Cone

Topic

3D Geometry

Definition

Vertical cross-sections of a cone are the intersections of the cone with vertical planes, resulting in shapes like triangles or parabolas.

Cones
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cones
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder Vertical Cross-Sections of a Cylinder

Topic

3D Geometry

Definition

Vertical cross-sections of a cylinder are the intersections of the cylinder with vertical planes, resulting in rectangles or ellipses.

Cylinders
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cylinders
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid Vertical Cross-Sections of a Square Pyramid

Topic

3D Geometry

Definition

Vertical cross-sections of a square pyramid are the intersections of the pyramid with vertical planes, resulting in triangles or trapezoids.

Pyramids
Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio Video Definition 57--3D Geometry--Vertical Cross-Sections of a Square Pyramid--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Pyramids
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism Vertical Cross-Sections of a Triangular Prism

Topic

3D Geometry

Definition

Vertical cross-sections of a triangular prism are the intersections of the prism with vertical planes, resulting in rectangles or triangles.

Triangular Prisms
Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio Video Definition 58--3D Geometry--Vertical Cross-Sections of a Triangular Prism--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Triangular Prisms
Video Definition 59--3D Geometry--Volume Video Definition 59--3D Geometry--Volume Volume

Topic

3D Geometry

Definition

Volume is the amount of space occupied by a three-dimensional object.

Description

Volume is a fundamental concept in geometry, representing the amount of space a three-dimensional object occupies. It is essential for calculating the capacity of containers, the displacement of fluids, and the mass of objects. Understanding volume involves using formulas specific to each shape, such as 

V = l × w × h

 for a rectangular prism or 

V = 4/3 πr3

Volume
Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio Video Definition 59--3D Geometry--Volume--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Volume
Video Definition 6--3D Geometry--Cross-sections of a Cube Video Definition 6--3D Geometry--Cross-sections of a Cube Cross-sections of a Cube

Topic

3D Geometry

Definition

Cross-sections of a cube are the intersections of a plane with the cube, resulting in various two-dimensional shapes.

Cubes
Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio Video Definition 6--3D Geometry--Cross-sections of a Cube--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cubes
Video Definition 7--3D Geometry--Cross-Sections of a Sphere Video Definition 7--3D Geometry--Cross-Sections of a Sphere Cross-Sections of a Sphere

Topic

3D Geometry

Definition

Cross-sections of a sphere are circular slices obtained by cutting the sphere with a plane.

Spheres
Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio Video Definition 7--3D Geometry--Cross-Sections of a Sphere--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Spheres
Video Definition 8--3D Geometry--Cube Video Definition 8--3D Geometry--Cube Cube

Topic

3D Geometry

Definition

A cube is a three-dimensional geometric figure with six equal square faces.

Description

Cubes are fundamental in geometry due to their symmetry and simplicity. They are used in various applications, such as packaging and architecture, where efficient space utilization is essential. The volume V of a cube is calculated as 

V = a3

Cubes
Video Definition 8--3D Geometry--Cube--Spanish Audio Video Definition 8--3D Geometry--Cube--Spanish Audio Video Definition 8--3D Geometry--Cube--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cubes
Video Definition 9--3D Geometry--Cylinder Video Definition 9--3D Geometry--Cylinder Cylinder

Topic

3D Geometry

Definition

A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface.

Description

Cylinders are common in everyday objects, such as cans and pipes. In mathematics, cylinders are studied for their properties, including surface area and volume. The volume V of a cylinder is given by the formula 

V = πr2h

Cylinders
Video Definition 9--3D Geometry--Cylinder--Spanish Audio Video Definition 9--3D Geometry--Cylinder--Spanish Audio Video Definition 9--3D Geometry--Cylinder--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cylinders
Video Transcript: Algebra Applications: Linear Functions Video Transcript: Algebra Applications: Linear Functions Video Transcript: Algebra Applications: Linear Functions

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction Video Transcript: Algebra Applications: Linear Functions, Segment 1: Introduction

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling Video Transcript: Algebra Applications: Linear Functions, Segment 2: Cycling

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Video Transcript: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

Linear Expressions, Equations, and Functions

Linear Expressio
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise Video Transcript: Algebra Applications: Linear Functions, Segment 4: Exercise

Linear Expressions, Equations, and Functions

Linear Expressions
Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions Video Transcript: Algebra Nspirations: Linear Functions Video Transcript: Algebra Nspirations: Linear Functions

This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 1 Video Transcript: Algebra Nspirations: Linear Functions, 1 Video Transcript: Algebra Nspirations: Linear Functions, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Algebra Nspirations: Linear Functions, Part 2 Video Transcript: Algebra Nspirations: Linear Functions, 2 Video Transcript: Algebra Nspirations: Linear Functions, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data.

This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Applications of Linear Functions and Graphs of Linear Functions
Video Transcript: Geometry Applications: 3D Geometry Video Transcript: Geometry Applications: 3D Geometry Video Transcript: Geometry Applications: 3D Geometry

This is the transcript for the video of same title. Video contents: In this program we explore the properties of three-dimensional figures. We do this in the context of two real-world applications. In the first, we look at the three-dimensional structure of Mayan pyramids. These stair-step structures provide a unique opportunity to also explore sequences and series. In the second application we look at the Shanghai Tower as an example of cylindrically shaped structures.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction Video Transcript: Geometry Applications: 3D Geometry, Segment 1: Introduction

This is the transcript for the video of same title. Video contents: We visit ancient Greece to learn about the Platonic Solids. This provides an introduction to the more general topic of three-dimensional figures.

This is part of a collection of video transcript from the Geometry Applications video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids Video Transcript: Geometry Applications: 3D Geometry, Segment 2: Pyramids

This is the transcript for the video of same title. Video contents: Rectangular Prisms. Mayan pyramids are essentially stacks of rectangular prisms. The volume of each successive level is a percentage decrease of its lower neighbor. This introduces the notion of a geometric sequence and series, including an infinite series.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders Video Transcript: Geometry Applications: 3D Geometry, Segment 3: Cylinders

This is the transcript for the video of same title. Video contents: The Shanghai Tower in China is a stack of cylindrical shapes, where each successive layer is a percentage decrease of its lower neighbor. As with the previous section, this introduces the notion of a geometric sequence and series.

3-Dimensional Figures and Applications of 3D Geometry
Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations Video Transcript: Geometry Applications: Transformations, Segment 2: 3D Translations

This is the transcript for the video of same title. Video contents: Cargo ships transport tons of merchandise from one country to another and accounts for most of the global economy. Loading and unloading these ships requires a great deal of organization and provides an ideal example of three-dimensional translations.

Applications of Transformations
Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept Video Transcript: Linear Functions: Negative Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept Video Transcript: Linear Functions: Negative Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept Video Transcript: Linear Functions: Negative Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Negative Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept Video Transcript: Linear Functions: Positive Slope, Negative y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Negative y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept Video Transcript: Linear Functions: Positive Slope, Positive y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Positive y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept Video Transcript: Linear Functions: Positive Slope, Zero y-Intercept

This is the transcript that goes with the video segment entitled Video: Linear Functions: Positive Slope, Zero y-Intercept.

This is part of a collection of video transcripts for the video tutorial series on Linear Functions. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Graphs of Linear Functions
Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps Video Tutorial: Cricket Chirps

This YouTube video describes the relationship between the number of cricket chirps and outside temperature. This is an application of linear functions of the form y = mx + b.

Applications of Linear Functions
Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law Video Tutorial: Hooke's Law

This YouTube video describes Hooke's Law, which is an application of linear functions of the form y = kx.

Slope-Intercept Form and Proportions
Video Tutorial: Identity Function Video Tutorial: Identity Function Video Tutorial: Identity Function

This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function.

Relations and Functions and Slope-Intercept Form
VideoTutorial--LinearFunctions1.jpg Video Tutorial: Linear Functions, Video 1 Video Tutorial: Linear Functions: Positive Slope, Positive y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions2.jpg Video Tutorial: Linear Functions, Video 2 Video Tutorial: Linear Functions: Positive Slope, Negative y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions3.jpg Video Tutorial: Linear Functions, Video 3 Video Tutorial: Linear Functions: Positive Slope, Zero y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions4.jpg Video Tutorial: Linear Functions, Video 4 Video Tutorial: Linear Functions: Negative Slope, Positive y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions
VideoTutorial--LinearFunctions5.jpg Video Tutorial: Linear Functions, Video 5 Video Tutorial: Linear Functions: Negative Slope, Negative y-Intercept

This is part of a collection of video tutorials on the topic of Linear Functions in Slope-Intercept Form.

Graphs of Linear Functions